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Finding the Fourth Proportional to 306.02, 422.47 and 194.10

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Solution

The fourth proportional to 306.02, 422.47 and 194.10 is: 267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 422.47 = 194.10 : x
  2. Step 2: Convert to fraction form
    306.02/422.47 = 194.10/x
  3. Step 3: Cross multiply
    306.02x = 422.47 × 194.10
  4. Step 4: Simplify right side
    306.02x = 82,003.22
  5. Step 5: Solve for x
    x = 82,003.22/306.02
  6. Step 6: Final answer
    x = 267.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.